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222-9+11+12:2*14+14 = ? ( )

Toán Lớp 7: Cho $\frac{a}{c}$= $\frac{c}{b}$ chứng minh $\frac{a^2+c^2}{b^2+c^2}$=$\frac{a}{b}$

Toán Lớp 7: Cho $\frac{a}{c}$= $\frac{c}{b}$ chứng minh $\frac{a^2+c^2}{b^2+c^2}$=$\frac{a}{b}$

Comments ( 2 )

  1. ta có a/c=b/c
    ⇒ab=c²
    ta có a²+c²/b²+c²
    =a²+ab/b²+ab
    =a(a+b)/b(b+a)
    =a/b
    ⇒đpcm

  2. a/c = c/b
    => c^2 = ab
    Có:
    (a^2 + c^2)/(b^2 + c^2)
    = (a^2 + ab)/(b^2 + ba)
    = (a.(a + b))/(b.(b + a))
    = a/b
    Vậy (a^2 + c^2)/(b^2 + c^2) = a/b

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222-9+11+12:2*14+14 = ? ( )

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